Quantum / CONCEPT
The residual-correlation sum of four qubits is not an entanglement monotone
Bai, Yang and Wang (arXiv:quant-ph/0703098, Phys. Rev. A 76, 022336) conjecture that the sum of the residual correlations M = sum_k tau_k - 2 sum_{p<q} C_pq^2 of a four-qubit pure state, built from the one-qubit linear entropies and Wootters' concurrences of the pairs, is an entanglement monotone. It is not: a two-outcome diagonal measurement on one qubit of the state (20|0001> + 2|1000> + 6|1011> + |1110>)/21 raises the average of M from 7552/194481 to 3528832/85766121.
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The residual-correlation sum increases on average
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- A generic-state counterexample in the kicked Ising chainstructural-affinity · Closed
- A lower bound on qutrit magic from coherencestructural-affinity · Closed
- Correlated coherence need not be monogamous for pure three-qubit statesstructural-affinity · Closed
- Generalized concentratable entanglement is not monotone under enlarging the subsystemstructural-affinity · Closed
- Generic matrix and cyclic-sector primitivesstructural-affinity · Closed
- Local-unitary inequivalence of two weight-isometric pairs of stabilizer codesstructural-affinity · Closed
- Partial Trace and Quantum Mutual Informationstructural-affinity · Closed
- Qutrit APPT attaining statesstructural-affinity · Closed
- Qutrit spectral reductionstructural-affinity · Closed
- The minimum of purity plus time-reversal overlapstructural-affinity · Closed
- UniformSchmidtCornerstructural-affinity · Closed
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